LaTeX
\mathbf p=m\mathbf vVariables
- p: momentum
- m: mass
- v: velocity
How to use this formula
Defines linear momentum as mass times velocity.
Important notes
- Momentum is a vector and is conserved in isolated systems.
Quick example
A 2 kg object at 4 m/s has momentum 8 kg·m/s.
Applicability, worked calculation, and verification
Assumptions and domain checks
- Momentum is a vector and is conserved in isolated systems.
- Preserve matrix order and verify dimension compatibility; multiplication and inversion are not generally commutative or always defined.
- Use dimensionally consistent units and the sign, coordinate, and reference-frame conventions stated for the problem.
Worked example
A 2 kg object at 4 m/s has momentum 8 kg·m/s.
Common mistakes
- Do not combine values with inconsistent units or sign conventions in Linear Momentum; perform a dimensional check before accepting the result.
- Verify the result of Linear Momentum with a known case, inverse operation, dimensional check, or independent calculation before publishing it.
Continue the workflow
Use Linear Momentum in your own work
- Check the domainMatch the variables and assumptions to the problem before substituting values.
- Copy the exact notationPreserve grouping, signs, and exponents in
\mathbf p=m\mathbf v. - Edit or convertOpen the expression in the LaTeX editor, then export it for your document or web page.
Review and verification
Last reviewed: 2026-07-23
Automated quality check: Kept noindex until the missing evidence is supplied.
Formula references
- College Physics 2eOpenStax, Rice University — Reviewed physical quantities, units, mechanics, energy, waves, electricity, and applied formulas.
Frequently asked questions
What is the Linear Momentum used for?
Defines linear momentum as mass times velocity.
Can I copy this formula as LaTeX?
Yes. Copy \mathbf p=m\mathbf v or open it in the LaTeX editor.
What should I check before using it?
Confirm that each variable, unit, domain restriction, and assumption matches the problem.